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SUMMARY:Quantum K-invariants of Grassmannian via Quot scheme - Shubham Sin
 ha (Abdus Salam International Centre for Theoretical Physics)
DTSTART:20240620T130000Z
DTEND:20240620T134000Z
UID:TALK217711@talks.cam.ac.uk
DESCRIPTION:In this talk\, we define K-theoretic invariants involving virt
 ual Euler characteristics of sheaves over the Quot schemes of a curve. We 
 show that these invariants naturally fit into a topological quantum field 
 theory valued in $\\mathbb{Z}[[q]]$. Additionally\, we demonstrate that th
 e genus-0 invariants recover the small quantum K-ring of Grassmannians\, p
 roviding a novel approach for deriving explicit formulas. By using torus l
 ocalization on Quot schemes\, we derive a Vafa-Intriligator type formula f
 or the quantum K-invariants. This is based on a joint work with Ming Zhang
 .
LOCATION:Seminar Room 1\, Newton Institute
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